Results 21 to 30 of about 587,634 (306)
On a comparison principle and the uniqueness of spectral flow
Mathematische Nachrichten, 2022 AbstractThe spectral flow is a well‐known quantity in spectral theory that measures the variation of spectra about 0 along paths of selfadjoint Fredholm operators. The aim of this work is twofold. Firstly, we consider homotopy invariance properties of the spectral flow and establish a simple formula which comprises its classical homotopy invariance and
Starostka, Maciej, Waterstraat, Nils
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Maximum principle and comparison principle of p-harmonic functions via p-harmonic boundary of graphs
, 2017 We prove the maximum principle and the comparison principle of p-harmonic functions via p-harmonic boundary of graphs. By applying the comparison principle, we also prove the solvability of the boundary value problem of p-harmonic functions via p ...
이용하
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Advances in Nonlinear Analysis, 2014 We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu +8 more
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A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups [PDF]
, 2021 In this paper we present a comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Moreover, using the comparison principle we obtain blow-up type results and global in $t$-boundedness of solutions of nonlinear ...
Yessirkegenov, N +3 more
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Existence and Multiplicity of Solutions for a Class of Particular Boundary Value Poisson Equations
Mathematics, 2022 In this paper, a special class of boundary value problems, −▵u=λuq+ur,inΩ,u>0, inΩ,n·∇u+g(u)u=0,on∂Ω, where ...
Songyue Yu, Baoqiang Yan
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Neuromyelitis optica spectrum disorder (NMOSD) is a relapsing autoimmune disease of the central nervous system. High‐dose intravenous methylprednisolone (IVMP) is the standard first‐line therapy for acute attacks, although some patients remain refractory.
Wataru Horiguchi +5 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Patients requiring long‐term continuous renal replacement therapy (CRRT) generally have poor prognoses. This study evaluated whether adding continuous intravenous sodium infusion (cIVNa) is associated with improved hemodynamics and outcomes in patients undergoing long‐term CRRT for ≥ 7 days.
Akinori Yamaguchi +6 more
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Hamilton--Jacobi equations for controlled gradient flows: the comparison principle
, 2023 Motivated by recent developments in the fields of large deviations for interacting particle system and mean field control, we establish a comparison principle for the Hamilton--Jacobi equation corresponding to linearly controlled gradient flows of an ...
richard kraaij +13 more
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Investigation of Doubly Nonlinear Parabolic Equation
Proceedings of the International Conference on Applied Innovations in ITWe study the properties of solutions for a porous medium equation (PME) in non-divergent form with a source term. The PME is a fundamental model in various physical and biological processes, including fluid flow through porous media, heat transfer, and ...
Makhmud Bobokandov +3 more
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